Solve 30n+650=55nf

$$30 n + 650 = 55 n f$$

Solve for f

$$f=\frac{6}{11}+\frac{130}{11n}$$

$$n\neq 0$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$55nf=30n+650$$

Divide both sides by 55n.

$$\frac{55nf}{55n}=\frac{30n+650}{55n}$$

Dividing by 55n undoes the multiplication by 55n.

$$f=\frac{30n+650}{55n}$$

Divide 30n+650 by 55n.

$$f=\frac{6}{11}+\frac{130}{11n}$$

Solve for n

$$n=-\frac{130}{6-11f}$$

$$f\neq \frac{6}{11}$$

Steps for Solving Linear Equation

Subtract 55nf from both sides.

$$30n+650-55nf=0$$

Subtract 650 from both sides. Anything subtracted from zero gives its negation.

$$30n-55nf=-650$$

Combine all terms containing n.

$$\left(30-55f\right)n=-650$$

Divide both sides by 30-55f.

$$\frac{\left(30-55f\right)n}{30-55f}=-\frac{650}{30-55f}$$

Dividing by 30-55f undoes the multiplication by 30-55f.

$$n=-\frac{650}{30-55f}$$

Divide -650 by 30-55f.

$$n=-\frac{130}{6-11f}$$